#amplitude — Public Fediverse posts

Was wäre, wenn #Stabilität nicht von #Amplitude, sondern von #strukturellerKonzentration abhängt? Dieses #CRTI-Phasendiagramm zeigt, wie Φ und R im #Uhrwerk physikalisch zusammenwirken. #EWS doi.org/10.5281/zeno... 🖖

Was wäre, wenn #Stabilität nicht von #Amplitude, sondern von #strukturellerKonzentration abhängt? Dieses #CRTI-Phasendiagramm zeigt, wie Φ und R im #Uhrwerk physikalisch zusammenwirken. #EWS doi.org/10.5281/zeno... 🖖

Was wäre, wenn #Stabilität nicht von #Amplitude, sondern von #strukturellerKonzentration abhängt? Dieses #CRTI-Phasendiagramm zeigt, wie Φ und R im #Uhrwerk physikalisch zusammenwirken. #EWS doi.org/10.5281/zeno... 🖖

https://www.europesays.com/ie/334856/ Amplitude, Toast, Zeta Global, Teradata, and SoundHound AI Stocks Trade Down, What You Need To Know #AI #Amplitude #AnalysisReport #ArtificialIntelligence #ArtificialIntelligence #DataAnalytics #Éire #IE #Ireland #MarketShift #SoftwareCompany #SoundHoundAI #Technology #Teradata #Toast #ZetaGlobal

Any stoners with Endless Space 2? :)
#lfg #endlessspace2 #endlessspace #sega #amplitudestudios #amplitude #pc #420 #stoner #strategy

Die Wahrheit über das #Oszilloskop - Was kein #Lehrer erklärt.

Heutzutage benötigt man ein #Oszilloskop um Fehler in #Schaltungen zu finden, #Frequenzen, #Amplitude und #Signalformen zu messen, #Störungen und #Rauschen und unerwünschte Signale aufzuspüren, in der Musik um die Signalform von #Synthesizern zu erkennen, um bei Autos Störungen der #Steuergeräte, besonders der #Motorsteuerung zu #diagnostizieren und grundsätzlich für alle Anwendungen, in der elektrische...

https://m.youtube.com/watch?v=cAO1rA_5KRQ

A cycloidal pendulum - one suspended from the cusp of an inverted cycloid - is isochronous, meaning its period is constant regardless of the amplitude of the swing. Please find the proof using energy methods: Lagrange's equations (in the images attached to the reply).

Background:
The standard pendulum period of \(2\pi\sqrt{L/g}\) or frequency \(\sqrt{g/L}\) holds only for small oscillations. The frequency becomes smaller as the amplitude grows. If you want to build a pendulum whose frequency is independent of the amplitude, you should hang it from the cusp of a cycloid of a certain size, as shown in the gif. As the string wraps partially around the cycloid, the effect decreases the length of the string in the air, increasing the frequency back up to a constant value.

In more detail:
A cycloid is the path taken by a point on the rim of a rolling wheel. The upside-down cycloid in the gif can be parameterized by \((x, y)=R(\theta-\sin\theta, -1+\cos\theta)\), where \(\theta=0\) corresponds to the cusp. Consider a pendulum of length \(L=4R\) hanging from the cusp, and let \(\alpha\) be the angle the string makes with the vertical, as shown (in the proof).

#Pendulum #Cycloid #Period #Frequency #SHM #TimePeriod #CycloidalPendulum #Lagrange #Cusp #Energy #KineticEnergy #PotentialEnergy #Lagrangian #Length #Math #Maths #Physics #Mechanics #ClassicalMechanics #Amplitude #CircularFrequency #Motion #Vibration #HarmonicMotion #Parameter #ParemeterizedEquation #GoverningEquations #Equation #Equations #DifferentialEquations #Calculus

The Fourier Transform is a mathematical operation that transforms a function of time (or space) into a function of frequency. It decomposes a complex signal into its constituent sinusoidal components, each with a specific frequency, amplitude, and phase. This is particularly useful in many fields, such as signal processing, physics, and engineering, because it allows for analysing the frequency characteristics of signals. The Fourier Transform provides a bridge between the time and frequency domains, enabling the analysis and manipulation of signals in more intuitive and computationally efficient ways. The result of applying a Fourier Transform is often represented as a spectrum, showing how much of each frequency is present in the original signal.

\[\Large\boxed{\boxed{\widehat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\ e^{-i 2\pi \xi x}\,\mathrm dx, \quad \forall\xi \in \mathbb{R}.}}\]

Inverse Fourier Transform:
\[\Large\boxed{\boxed{ f(x) = \int_{-\infty}^{\infty} \widehat f(\xi)\ e^{i 2 \pi \xi x}\,\mathrm d\xi,\quad \forall x \in \mathbb R.}}\]

The equation allows us to listen to mp3s today. Digital Music Couldn’t Exist Without the Fourier Transform: http://bit.ly/22kbNfi

#Fourier #FourierTransform #Transform #Time #Frequency #Space #TimeDomain #FrequencyDomain #Wavenumber #WavenumberDomain #Function #Math #Maths #JosephFourier #Signal #Signals #FT #IFT #DFT #FFT #Physics #SignalProcessing #Engineering #Analysis #Computing #Computation #Operation #ComplexSignal #Sinusoidal #Amplitude #Phase #Spectra #Spectrum #Pustam #Raut #PustamRaut #EGR #Mathstodon #Mastodon #GeoFlow #SpectralMethod

The Fourier Transform is a mathematical operation that transforms a function of time (or space) into a function of frequency. It decomposes a complex signal into its constituent sinusoidal components, each with a specific frequency, amplitude, and phase. This is particularly useful in many fields, such as signal processing, physics, and engineering, because it allows for analysing the frequency characteristics of signals. The Fourier Transform provides a bridge between the time and frequency domains, enabling the analysis and manipulation of signals in more intuitive and computationally efficient ways. The result of applying a Fourier Transform is often represented as a spectrum, showing how much of each frequency is present in the original signal.

\[\Large\boxed{\boxed{\widehat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\ e^{-i 2\pi \xi x}\,\mathrm dx, \quad \forall\xi \in \mathbb{R}.}}\]

Inverse Fourier Transform:
\[\Large\boxed{\boxed{ f(x) = \int_{-\infty}^{\infty} \widehat f(\xi)\ e^{i 2 \pi \xi x}\,\mathrm d\xi,\quad \forall x \in \mathbb R.}}\]

The equation allows us to listen to mp3s today. Digital Music Couldn’t Exist Without the Fourier Transform: http://bit.ly/22kbNfi

#Fourier #FourierTransform #Transform #Time #Frequency #Space #TimeDomain #FrequencyDomain #Wavenumber #WavenumberDomain #Function #Math #Maths #JosephFourier #Signal #Signals #FT #IFT #DFT #FFT #Physics #SignalProcessing #Engineering #Analysis #Computing #Computation #Operation #ComplexSignal #Sinusoidal #Amplitude #Phase #Spectra #Spectrum #Pustam #Raut #PustamRaut #EGR #Mathstodon #Mastodon #GeoFlow #SpectralMethod

The Fourier Transform is a mathematical operation that transforms a function of time (or space) into a function of frequency. It decomposes a complex signal into its constituent sinusoidal components, each with a specific frequency, amplitude, and phase. This is particularly useful in many fields, such as signal processing, physics, and engineering, because it allows for analysing the frequency characteristics of signals. The Fourier Transform provides a bridge between the time and frequency domains, enabling the analysis and manipulation of signals in more intuitive and computationally efficient ways. The result of applying a Fourier Transform is often represented as a spectrum, showing how much of each frequency is present in the original signal.

\[\Large\boxed{\boxed{\widehat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\ e^{-i 2\pi \xi x}\,\mathrm dx, \quad \forall\xi \in \mathbb{R}.}}\]

Inverse Fourier Transform:
\[\Large\boxed{\boxed{ f(x) = \int_{-\infty}^{\infty} \widehat f(\xi)\ e^{i 2 \pi \xi x}\,\mathrm d\xi,\quad \forall x \in \mathbb R.}}\]

The equation allows us to listen to mp3s today. Digital Music Couldn’t Exist Without the Fourier Transform: http://bit.ly/22kbNfi

#Fourier #FourierTransform #Transform #Time #Frequency #Space #TimeDomain #FrequencyDomain #Wavenumber #WavenumberDomain #Function #Math #Maths #JosephFourier #Signal #Signals #FT #IFT #DFT #FFT #Physics #SignalProcessing #Engineering #Analysis #Computing #Computation #Operation #ComplexSignal #Sinusoidal #Amplitude #Phase #Spectra #Spectrum #Pustam #Raut #PustamRaut #EGR #Mathstodon #Mastodon #GeoFlow #SpectralMethod

The Fourier Transform is a mathematical operation that transforms a function of time (or space) into a function of frequency. It decomposes a complex signal into its constituent sinusoidal components, each with a specific frequency, amplitude, and phase. This is particularly useful in many fields, such as signal processing, physics, and engineering, because it allows for analysing the frequency characteristics of signals. The Fourier Transform provides a bridge between the time and frequency domains, enabling the analysis and manipulation of signals in more intuitive and computationally efficient ways. The result of applying a Fourier Transform is often represented as a spectrum, showing how much of each frequency is present in the original signal.

\[\Large\boxed{\boxed{\widehat{f}(\xi) = \int_{-\infty}^{\infty} f(x)\ e^{-i 2\pi \xi x}\,\mathrm dx, \quad \forall\xi \in \mathbb{R}.}}\]

Inverse Fourier Transform:
\[\Large\boxed{\boxed{ f(x) = \int_{-\infty}^{\infty} \widehat f(\xi)\ e^{i 2 \pi \xi x}\,\mathrm d\xi,\quad \forall x \in \mathbb R.}}\]

The equation allows us to listen to mp3s today. Digital Music Couldn’t Exist Without the Fourier Transform: http://bit.ly/22kbNfi

#Fourier #FourierTransform #Transform #Time #Frequency #Space #TimeDomain #FrequencyDomain #Wavenumber #WavenumberDomain #Function #Math #Maths #JosephFourier #Signal #Signals #FT #IFT #DFT #FFT #Physics #SignalProcessing #Engineering #Analysis #Computing #Computation #Operation #ComplexSignal #Sinusoidal #Amplitude #Phase #Spectra #Spectrum #Pustam #Raut #PustamRaut #EGR #Mathstodon #Mastodon #GeoFlow #SpectralMethod

A Rockslide-Generated Tsunami In A Greenland Fjord Rang Earth For 9 Days
--
https://doi.org/10.1126/science.adm9247 <-- shared paper
--
#GIS #spatial #mapping #seiche #tsunami #model #modeling #observation #massmovement #engineeringgeology #debrisflow #landslide #massmovement #risk #hazard #spatialanalysis #spatiotemporal #Greenland #seismic #seismology #DicksonFjord #fjord #rockslide #climatechange #standingwaves #cryosphere #hydrosphere #masswasting #geomorphology #geomorphometry #tsunamigenic #glacier #glacial #melting #amplitude #lithosphere #naturalhazard

A Rockslide-Generated Tsunami In A Greenland Fjord Rang Earth For 9 Days
--
https://doi.org/10.1126/science.adm9247 <-- shared paper
--
#GIS #spatial #mapping #seiche #tsunami #model #modeling #observation #massmovement #engineeringgeology #debrisflow #landslide #massmovement #risk #hazard #spatialanalysis #spatiotemporal #Greenland #seismic #seismology #DicksonFjord #fjord #rockslide #climatechange #standingwaves #cryosphere #hydrosphere #masswasting #geomorphology #geomorphometry #tsunamigenic #glacier #glacial #melting #amplitude #lithosphere #naturalhazard

A Rockslide-Generated Tsunami In A Greenland Fjord Rang Earth For 9 Days
--
https://doi.org/10.1126/science.adm9247 <-- shared paper
--
#GIS #spatial #mapping #seiche #tsunami #model #modeling #observation #massmovement #engineeringgeology #debrisflow #landslide #massmovement #risk #hazard #spatialanalysis #spatiotemporal #Greenland #seismic #seismology #DicksonFjord #fjord #rockslide #climatechange #standingwaves #cryosphere #hydrosphere #masswasting #geomorphology #geomorphometry #tsunamigenic #glacier #glacial #melting #amplitude #lithosphere #naturalhazard

A Rockslide-Generated Tsunami In A Greenland Fjord Rang Earth For 9 Days
--
https://doi.org/10.1126/science.adm9247 <-- shared paper
--
#GIS #spatial #mapping #seiche #tsunami #model #modeling #observation #massmovement #engineeringgeology #debrisflow #landslide #massmovement #risk #hazard #spatialanalysis #spatiotemporal #Greenland #seismic #seismology #DicksonFjord #fjord #rockslide #climatechange #standingwaves #cryosphere #hydrosphere #masswasting #geomorphology #geomorphometry #tsunamigenic #glacier #glacial #melting #amplitude #lithosphere #naturalhazard

A Rockslide-Generated Tsunami In A Greenland Fjord Rang Earth For 9 Days
--
https://doi.org/10.1126/science.adm9247 <-- shared paper
--
#GIS #spatial #mapping #seiche #tsunami #model #modeling #observation #massmovement #engineeringgeology #debrisflow #landslide #massmovement #risk #hazard #spatialanalysis #spatiotemporal #Greenland #seismic #seismology #DicksonFjord #fjord #rockslide #climatechange #standingwaves #cryosphere #hydrosphere #masswasting #geomorphology #geomorphometry #tsunamigenic #glacier #glacial #melting #amplitude #lithosphere #naturalhazard

We made a hot dog talk with RF [video]
https://www.youtube.com/watch?v=GgDxXDV4_hc
#ycombinator #radio #broadcast #tower #transmitter #transmission #hot_dog #meme #funny #cook #cooking #burn #radiofrequency #frequency #modulation #kilowatt #power #ground #grounding #wire #rod #stick #beef #brat #sausage #turkey #weiner #dog #insulating #safety #hazard #engineer #site #danger #dangerous #caution #hazardous #arc #arcing #electricity #sound #audible #hearing #loud #amplitude #mod

We made a hot dog talk with RF [video]
https://www.youtube.com/watch?v=GgDxXDV4_hc
#ycombinator #radio #broadcast #tower #transmitter #transmission #hot_dog #meme #funny #cook #cooking #burn #radiofrequency #frequency #modulation #kilowatt #power #ground #grounding #wire #rod #stick #beef #brat #sausage #turkey #weiner #dog #insulating #safety #hazard #engineer #site #danger #dangerous #caution #hazardous #arc #arcing #electricity #sound #audible #hearing #loud #amplitude #mod

We made a hot dog talk with RF [video]
https://www.youtube.com/watch?v=GgDxXDV4_hc
#ycombinator #radio #broadcast #tower #transmitter #transmission #hot_dog #meme #funny #cook #cooking #burn #radiofrequency #frequency #modulation #kilowatt #power #ground #grounding #wire #rod #stick #beef #brat #sausage #turkey #weiner #dog #insulating #safety #hazard #engineer #site #danger #dangerous #caution #hazardous #arc #arcing #electricity #sound #audible #hearing #loud #amplitude #mod

We made a hot dog talk with RF [video]
https://www.youtube.com/watch?v=GgDxXDV4_hc
#ycombinator #radio #broadcast #tower #transmitter #transmission #hot_dog #meme #funny #cook #cooking #burn #radiofrequency #frequency #modulation #kilowatt #power #ground #grounding #wire #rod #stick #beef #brat #sausage #turkey #weiner #dog #insulating #safety #hazard #engineer #site #danger #dangerous #caution #hazardous #arc #arcing #electricity #sound #audible #hearing #loud #amplitude #mod

Farbraumtiefe Werke jenseits der Grenzen des klassischen Gemäldes: Nadine Schemmann bevorzugt #Leinen als Malträger und lässt Fäden oder Nähte hervorragen, an denen Farbinseln entstehen. Ausgangspunkt ihrer Kunst sind #Erinnerungen an synästhetische #Erlebnisse vergangener #Begegnungen.

Im #Museum Wiesbaden könnt ihr die #Ausstellung „Amplituden Intervention“ noch bis 7. April 2024 anschauen. #Kunst #Kultur #Amplitude #Intervention

Infos: museum-wiesbaden.de

What Amplitude’s choice to direct list says about its products, growth and value - Amplitude is going public in a direct listing that will see its shares trade on th... - http://feedproxy.google.com/~r/Techcrunch/~3/tkD6YnOHYBg/ #fundings&exits #ecnewsletter #theexchange #freshworks #amplitude #startups #toast #ipo #tc

I've spent quite a while searching online for a simple answer to this question, but no luck so far. I'm developing a #software #music #synthesiser, and I'd like to generate #pulseWaves of a given #dutyCycle, #frequency and #amplitude. What's the most #programmer friendly equation for this?

In case you're wondering, my synth is, of course, written in #Rust, using #PortAudio, and entirely for fun.